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### Discussion :: Boats and Streams

1.  A boat takes a total time of three hours to travel downstream from P and Q and upstream back from Q to P. What is the speed of the boat in still water?

I . The speed of the river current is 1 km per hour.

II.The distance between P and Q is 4 km.

2.  A. I alone sufficient while II alone not sufficient to answer B. II alone sufficient while I alone not sufficient to answer C. Either I or II alone sufficient to answer D. Both I and II are not sufficient to answer E. Both I and II are necessary to answer

Explanation :

I. Speed of the current = 1 km/hr.

II. PQ = 4 km.

Let the speed of the boat in still water be x km/hr. Then,

$$\frac { 4 } { (X+1 )} +$$$$\frac { 4 } { (X-1 )}=3$$This gives x.

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